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Finding the Fourth Proportional to 39,711, 59,567.94 and 12,009

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Solution

The fourth proportional to 39,711, 59,567.94 and 12,009 is: 18,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,711 : 59,567.94 = 12,009 : x
  2. Step 2: Convert to fraction form
    39,711/59,567.94 = 12,009/x
  3. Step 3: Cross multiply
    39,711x = 59,567.94 × 12,009
  4. Step 4: Simplify right side
    39,711x = 715,351,391.46
  5. Step 5: Solve for x
    x = 715,351,391.46/39,711
  6. Step 6: Final answer
    x = 18,013.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.